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Non-Hermitian neutrino oscillations in matter with PT symmetric Hamiltonians
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Theoretical Particle Physics.ORCID iD: 0000-0002-3525-8349
2016 (English)In: Europhysics letters, ISSN 0295-5075, E-ISSN 1286-4854, Vol. 113, no 6, 61001Article in journal (Refereed) PublishedText
Abstract [en]

We introduce and develop a novel approach to extend the ordinary two-flavor neutrino oscillation formalism in matter using a non-Hermitian PT symmetric effective Hamiltonian. The condition of PT symmetry is weaker and less mathematical than that of hermicity, but more physical, and such an extension of the formalism can give rise to sub-leading effects in neutrino flavor transitions similar to the effects by so-called non-standard neutrino interactions. We derive the necessary conditions for the spectrum of the effective Hamiltonian to be real as well as the mappings between the fundamental and effective parameters. We find that the real spectrum of the effective Hamiltonian will depend on all new fundamental parameters introduced in the non-Hermitian PT symmetric extension of the usual neutrino oscillation formalism and that either i) the spectrum is exact and the effective leptonic mixing must always be maximal or ii) the spectrum is approximate and all new fundamental parameters must be small.

Place, publisher, year, edition, pages
Institute of Physics Publishing (IOPP), 2016. Vol. 113, no 6, 61001
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URN: urn:nbn:se:kth:diva-187277DOI: 10.1209/0295-5075/113/61001ScopusID: 2-s2.0-84963847170OAI: oai:DiVA.org:kth-187277DiVA: diva2:929560
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QC 20160519

Available from: 2016-05-19 Created: 2016-05-19 Last updated: 2016-06-03Bibliographically approved

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Ohlsson, Tommy
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